Answer:
12 inches
Step-by-step explanation:
Even integers are multiple of 2 and differ by 2.
Thus,
as quadrilaterals have 4 sides
let the length of those sides be
2x , 2x + 2 , 2x+4, 2x+6
given that their sum is 36 inches
thus
lets take sum of assumed sides
2x + 2x + 2 + 2x+4 + 2x+6 = 36
=> 8x + 12 = 36
=> 8x = 36 - 12 = 24
=> x = 24/8 = 3
Thus,
sides are
2x = 2*3 = 6
2x + 2 = 6 +2 = 8
2x + 4 = 6 + 4 = 10
2x + 6 = 6 + 6 = 12
Thus,
length of longest side is 12 inches.
